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摘要
En 中文
The Black-Scholes-Merton option valuation method involves deriving and solving a partial differential equation (PDE). But this method can generate multiple values for an option. We provide new solutions for the Cox-Ingersoll-Ross (CIR) term structure model, the constant elasticity of variance (CEV) model, and the Heston stochastic volatility model. Multiple solutions reflect asset pricing bubbles, dominated investments, and (possibly infeasible) arbitrages. We provide conditions to rule out bubbles on underlying prices. If they are not satisfied, put-call parity might not hold, American calls have no optimal exercise policy, and lookback calls have infinite value. We clarify a longstanding conjecture of Cox, Ingersoll, and Ross.
Keyword:
ASSET-PRICING BUBBLES
STOCHASTIC VOLATILITY
CONSTANT ELASTICITY
AMERICAN OPTIONS
ARBITRAGE
MARKETS
MODELS
VALUATION
MARTINGALES
DYNAMICS
AI总结
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